| 30-XX |
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Functions of a complex variable For analysis on manifolds, see 58-XX |
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30Cxx |
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Geometric function theory |
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30C10 |
Polynomials |
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30C15 |
Zeros of polynomials, rational functions, and other analytic functions (e.g. zeros of functions with bounded Dirichlet integral) For algebraic theory, see 12D10; for real methods, see 26C10 |
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30C20 |
Conformal mappings of special domains |
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30C25 |
Covering theorems in conformal mapping theory |
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30C30 |
Numerical methods in conformal mapping theory [See also 65E05] |
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30C35 |
General theory of conformal mappings |
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30C40 |
Kernel functions and applications |
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30C45 |
Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.) |
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30C50 |
Coefficient problems for univalent and multivalent functions |
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30C55 |
General theory of univalent and multivalent functions |
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30C62 |
Quasiconformal mappings in the plane |
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30C65 |
Quasiconformal mappings in ${\bf R}^n$, other generalizations |
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30C70 |
Extremal problems for conformal and quasiconformal mappings, variational methods |
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30C75 |
Extremal problems for conformal and quasiconformal mappings, other methods |
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30C80 |
Maximum principle; Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination |
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30C85 |
Capacity and harmonic measure in the complex plane [See also 31A15] |
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30C99 |
None of the above, but in this section |